[2607.17975] Sturdy Quantum Mpemba Impact from Precise Sluggish-Mode Choice in Constrained Rydberg Chains

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Summary:CStrong quantum Mpemba acceleration requires suppressing the slowest seen Liouvillian rest channel, however a sturdy many-body mechanism for implementing such suppression stays difficult. We establish such a mechanism in regionally dephased constrained Rydberg chains by way of actual slow-mode choice. For constrained single-spin-flip Hamiltonians, native dephasing turns the Hamiltonian itself into an actual left Liouvillian eigenmode, $mathcal L^dagger(H)=-gamma H$. A finite-temperature reference state generically overlaps with this $H$-like gradual mode, whereas translationally invariant states with $mathrm{Tr}(Hrho_0)=0$ take away it and are confined to the $Q=0$ operator sector. When the subsequent seen $Q=0$ mode decays quicker, these chosen states exhibit a robust quantum Mpemba impact. We show this mechanism within the PXP chain for a zero-energy scar eigenstate, the all-zero product state, and a translation-invariant $Z_2$ cat state, and present that it persists within the $(2,3)$ mannequin and the longer-range blockade household. Our outcomes establish Liouvillian mode visibility, relatively than particular scar wave features, because the organizing precept for anomalously quick rest in constrained open quantum methods.